2.3 wont start..............

Allright guys this is my girlfriends car, its a 1993 hatchback she has had it for about a month and now its having problems, It has fuel i know that, but here are my assumptions and problems, the car runs GREAT, starts up and will run for ever lol, but if you shut it off, it wont start again, allmost untill the car cools down. And it has even shut off while driving, now it tries to crank, and it is getting fuel, i havent checked it for spark yet, but i would assume it isnt the spark, because sometimes if i disconnect the battery, and reconnect it it will fire RIGHT up. So what could be causing this Also is it normal for the key in the "on" position to make the fuel pump run and KEEP running even without starting the car im thinking this is the problem and the mechanic said this is probbly the fuel pump relay??? but i cant find it Some one said its under the seat

So would this cause it not to start?????

It has coil packs

Yah man thanks anyways any one else